cp's OEIS Frontend

A170381 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^43 = I.

%I A170381 #6 Nov 21 2016 19:31:45
%S A170381 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A170381 2316214687500,81067514062500,2837362992187500,99307704726562500,
%U A170381 3475769665429687500,121651938290039062500,4257817840151367187500,149023624405297851562500
%N A170381 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^43 = I.
%C A170381 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A170381 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170381 <a href="/index/Rec#order_43">Index entries for linear recurrences with constant coefficients</a>, signature (34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, -595).
%F A170381 G.f. (t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 +
%F A170381 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 +
%F A170381 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 +
%F A170381 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 +
%F A170381 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3
%F A170381 + 2*t^2 + 2*t + 1)/(595*t^43 - 34*t^42 - 34*t^41 - 34*t^40 - 34*t^39 -
%F A170381 34*t^38 - 34*t^37 - 34*t^36 - 34*t^35 - 34*t^34 - 34*t^33 - 34*t^32 -
%F A170381 34*t^31 - 34*t^30 - 34*t^29 - 34*t^28 - 34*t^27 - 34*t^26 - 34*t^25 -
%F A170381 34*t^24 - 34*t^23 - 34*t^22 - 34*t^21 - 34*t^20 - 34*t^19 - 34*t^18 -
%F A170381 34*t^17 - 34*t^16 - 34*t^15 - 34*t^14 - 34*t^13 - 34*t^12 - 34*t^11 -
%F A170381 34*t^10 - 34*t^9 - 34*t^8 - 34*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 -
%F A170381 34*t^2 - 34*t + 1)
%K A170381 nonn
%O A170381 0,2
%A A170381 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009